A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4
[EN] Brady's logic BN4 can be viewed as the 4-valued logic of the relevant conditional. The aim of this article is to introduce the logic E4, which can be regarded as the 4-valued logic of (relevant) entailment on the basis of the two following facts: (1) as the logic R-mingle, E4 has the ‘quas...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de León |
| Repositorio: | BULERIA. Repositorio Institucional de la Universidad de León |
| OAI Identifier: | oai:buleria.unileon.es:10612/25711 |
| Acceso en línea: | https://academic.oup.com/jigpal/article-abstract/24/5/838/2198221 https://hdl.handle.net/10612/25711 |
| Access Level: | acceso abierto |
| Palabra clave: | Lógica Relevant logics Many-valued logics 4-valued logics Belnap- Dunn type semantics Brady’s logic BN4 11 Lógica |
| id |
ES_f9feacbcde5e84d5b1cc8f3c93229ac7 |
|---|---|
| oai_identifier_str |
oai:buleria.unileon.es:10612/25711 |
| network_acronym_str |
ES |
| network_name_str |
España |
| repository_id_str |
|
| spelling |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4Robles Vázquez, GemmaMéndez Rodríguez, José ManuelLógicaRelevant logicsMany-valued logics4-valued logicsBelnap- Dunn type semanticsBrady’s logic BN411 Lógica[EN] Brady's logic BN4 can be viewed as the 4-valued logic of the relevant conditional. The aim of this article is to introduce the logic E4, which can be regarded as the 4-valued logic of (relevant) entailment on the basis of the two following facts: (1) as the logic R-mingle, E4 has the ‘quasi-relevance property’; (2) as Anderson and Belnap's logic of entailment E, E4 encloses a sound theory of logical necessity when the necessity operator is introduced via the definition \square A=_{df} (A->A)->A.SIMinisterio de Economía y Competitividad (España)Oxford University PressLogica y Filosofia de la CienciaFacultad de Filosofia y Letras2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionhttps://academic.oup.com/jigpal/article-abstract/24/5/838/2198221https://hdl.handle.net/10612/25711reponame:BULERIA. Repositorio Institucional de la Universidad de Leóninstname:Universidad de LeónInglésinfo:eu-repo/grantAgreement/MINECO/FFI2014-53919-P/SEMANTICA BIVALENTE TIPO DUNN Y SEMANTICA RELACIONAL TERNARIA TIPO ROUTLEY-MEYER PARA LAS EXPANSIONES IMPLICATIVAS NATURALES DE LA MATRIZ FUERTE TRIVALUADA DE KLEENEhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:buleria.unileon.es:10612/257112026-06-24T12:43:27Z |
| dc.title.none.fl_str_mv |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| title |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| spellingShingle |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 Robles Vázquez, Gemma Lógica Relevant logics Many-valued logics 4-valued logics Belnap- Dunn type semantics Brady’s logic BN4 11 Lógica |
| title_short |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| title_full |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| title_fullStr |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| title_full_unstemmed |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| title_sort |
A companion to Brady's 4-valued relevant logic BN4: The 4-valued logic of entailment E4 |
| dc.creator.none.fl_str_mv |
Robles Vázquez, Gemma Méndez Rodríguez, José Manuel |
| author |
Robles Vázquez, Gemma |
| author_facet |
Robles Vázquez, Gemma Méndez Rodríguez, José Manuel |
| author_role |
author |
| author2 |
Méndez Rodríguez, José Manuel |
| author2_role |
author |
| dc.contributor.none.fl_str_mv |
Logica y Filosofia de la Ciencia Facultad de Filosofia y Letras |
| dc.subject.none.fl_str_mv |
Lógica Relevant logics Many-valued logics 4-valued logics Belnap- Dunn type semantics Brady’s logic BN4 11 Lógica |
| topic |
Lógica Relevant logics Many-valued logics 4-valued logics Belnap- Dunn type semantics Brady’s logic BN4 11 Lógica |
| description |
[EN] Brady's logic BN4 can be viewed as the 4-valued logic of the relevant conditional. The aim of this article is to introduce the logic E4, which can be regarded as the 4-valued logic of (relevant) entailment on the basis of the two following facts: (1) as the logic R-mingle, E4 has the ‘quasi-relevance property’; (2) as Anderson and Belnap's logic of entailment E, E4 encloses a sound theory of logical necessity when the necessity operator is introduced via the definition \square A=_{df} (A->A)->A. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion |
| format |
article |
| status_str |
acceptedVersion |
| dc.identifier.none.fl_str_mv |
https://academic.oup.com/jigpal/article-abstract/24/5/838/2198221 https://hdl.handle.net/10612/25711 |
| url |
https://academic.oup.com/jigpal/article-abstract/24/5/838/2198221 https://hdl.handle.net/10612/25711 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
info:eu-repo/grantAgreement/MINECO/FFI2014-53919-P/SEMANTICA BIVALENTE TIPO DUNN Y SEMANTICA RELACIONAL TERNARIA TIPO ROUTLEY-MEYER PARA LAS EXPANSIONES IMPLICATIVAS NATURALES DE LA MATRIZ FUERTE TRIVALUADA DE KLEENE |
| dc.rights.none.fl_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| eu_rights_str_mv |
openAccess |
| dc.publisher.none.fl_str_mv |
Oxford University Press |
| publisher.none.fl_str_mv |
Oxford University Press |
| dc.source.none.fl_str_mv |
reponame:BULERIA. Repositorio Institucional de la Universidad de León instname:Universidad de León |
| instname_str |
Universidad de León |
| reponame_str |
BULERIA. Repositorio Institucional de la Universidad de León |
| collection |
BULERIA. Repositorio Institucional de la Universidad de León |
| repository.name.fl_str_mv |
|
| repository.mail.fl_str_mv |
|
| _version_ |
1869425144336744448 |
| score |
15.81155 |